2,876 research outputs found
Interface Conformal Anomalies
We consider two conformal field theories (CFTs) glued together
along a codimension one conformal interface. The conformal anomaly of such a
system contains both bulk and interface contributions. In a curved-space setup,
we compute the heat kernel coefficients and interface central charges in free
theories. The results are consistent with the known boundary CFT data via the
folding trick. In , two interface invariants generally allowed as
anomalies turn out to have vanishing interface charges. These missing
invariants are constructed from components with odd parity with respect to
flipping the orientation of the defect. We conjecture that all invariants
constructed from components with odd parity may have vanishing coefficient for
symmetric interfaces, even in the case of interacting interface CFT.Comment: 14 pp; v2: clarifications added, introduction expande
Quark-Gluon Plasma/Black Hole duality from Gauge/Gravity Correspondence
The Quark-Gluon Plasma (QGP) is the QCD phase of matter expected to be formed
at small proper-times in the collision of heavy-ions at high energy.
Experimental observations seem to favor a strongly coupled QCD plasma with the
hydrodynamic properties of a quasi-perfect fluid, i.e. rapid thermalization (or
isotropization) and small viscosity. The theoretical investigation of such
properties is not obvious, due to the the strong coupling. The Gauge/Gravity
correspondence provides a stimulating framework to explore the strong coupling
regime of gauge theories using the dual string description. After a brief
introduction to Gauge/Gravity duality, and among various existing studies, we
focus on challenging problems of QGP hydrodynamics, such as viscosity and
thermalization, in terms of gravitational duals of both the static and
relativistically evolving plasma. We show how a Black Hole geometry arises
naturally from the dual properties of a nearly perfect fluid and explore the
lessons and prospects one may draw for actual heavy ion collisions from the
Gauge/Gravity duality approach.Comment: 6 pages, 4 figures, invited talk at the EPS HEP 2007 Conference,
Manchester (UK), and at the ``Deuxiemes rencontres PQG-France'', Etretat
(2007); reference adde
Seiberg Duality is an Exceptional Mutation
The low energy gauge theory living on D-branes probing a del Pezzo
singularity of a non-compact Calabi-Yau manifold is not unique. In fact there
is a large equivalence class of such gauge theories related by Seiberg duality.
As a step toward characterizing this class, we show that Seiberg duality can be
defined consistently as an admissible mutation of a strongly exceptional
collection of coherent sheaves.Comment: 32 pages, 4 figures; v2 refs added, "orbifold point" discussion
refined; v3 version to appear in JHEP, discussion of torsion sheaves improve
Betti numbers for numerical semigroup rings
We survey results related to the magnitude of the Betti numbers of numerical
semigroup rings and of their tangent cones.Comment: 22 pages; v2: updated references. To appear in Multigraded Algebra
and Applications (V. Ene, E. Miller Eds.
On the structure of subsets of an orderable group with some small doubling properties
The aim of this paper is to present a complete description of the structure
of subsets S of an orderable group G satisfying |S^2| = 3|S|-2 and is
non-abelian
p-Wave holographic superconductors with Weyl corrections
We study the (3+1) dimensional p-wave holographic superconductors with Weyl
corrections both numerically and analytically. We describe numerically the
behavior of critical temperature with respect to charge density
in a limited range of Weyl coupling parameter and we find in general
the condensation becomes harder with the increase of parameter . In
strong coupling limit of Yang-Mills theory, we show that the minimum value of
obtained from analytical approach is in good agreement with the
numerical results, and finally show how we got remarkably a similar result in
the critical exponent 1/2 of the chemical potential and the order
parameter with the numerical curves of superconductors.Comment: 7 pages, 1 figure, 1 table. One refrence added, presentations
improve
Schwinger-Keldysh Propagators from AdS/CFT Correspondence
We demonstrate how to compute real-time Green's functions for a class of
finite temperature field theories from their AdS gravity duals. In particular,
we reproduce the two-by-two Schwinger-Keldysh matrix propagator from a gravity
calculation. Our methods should work also for computing higher point Lorentzian
signature correlators. We elucidate the boundary condition subtleties which
hampered previous efforts to build a Lorentzian-signature AdS/CFT
correspondence. For two-point correlators, our construction is automatically
equivalent to the previously formulated prescription for the retarded
propagator.Comment: 16 pages, 1 figure, references added; to appear in JHE
Improved optical phenotyping of the grape berry surface using light-separation and automated RGB image analysis
Grape resilience towards Botrytis cinerea (B. cinerea) infections (Botrytis bunch rot) is an important concern of breeders and growers. Beside grape bunch architecture, berry surface characteristics like berry bloom (epicuticular wax) as well as thickness and permeability of the berry cuticle represent further promising physical barriers to increase resilience towards Botrytis bunch rot. In previous studies, two efficient sensor-based phenotyping methods were developed to evaluate both berry surface traits fast and objectively: (1) light-separated RGB (red-green-blue) image analysis to determine the distribution of epicuticular wax on the berry surface; and (2) electrical impedance characteristics of the grape berry cuticle based on point measurements. The present proof-of-concept study aiming at the evaluation of light-separated RGB images for both phenotyping applications, phenotyping wax distribution pattern and berry cuticle impedance values. Within the selected grapevine varieties like 'Riesling', 'Sauvignon Blanc' or 'Calardis Blanc' five contributions were achieved: (1) Both phenotyping approaches were fused into one prototypic unified phenotyping method achieving a wax detection accuracy of 98.6 % and a prediction of electrical impedance with an accuracy of 95 %. (2) Both traits are derived using only light-separated images of the grapevine berries. (3) The improved method allows the detection and quantification of additional surface traits of the grape berry surface such as lenticels (punctual lignification) and the berry stem that are also known as being able to affect the grape susceptibility towards Botrytis. (4) The improved image analysis tools are further integrated into a comprehensive workbench allowing end-users, like breeders to combine phenotyping experiments with transparent data management offering valuable services like visualizations, indexing, etc. (5) Annotation work is supported by a sophisticated annotation tool of the image analysis workbench. The usage of light-separated images enables fast and non-invasive phenotyping of different optical berry surface characteristics, which saves time-consuming labor and additionally allows the reuse of the berry samples for subsequent investigations, e.g. Botrytis infection studies
The Many Phases of Holographic Superfluids
We investigate holographic superfluids in AdS_{d+1} with d=3,4 in the
non-backreacted approximation for various masses of the scalar field. In d=3
the phase structure is universal for all the masses that we consider: the
critical temperature decreases as the superfluid velocity increases, and as it
is cranked high enough, the order of the phase transition changes from second
to first. Surprisingly, in d=4 we find that the phase structure is more
intricate. For sufficiently high mass, there is always a second order phase
transition to the normal phase, no matter how high the superfluid velocity. For
some parameters, as we lower the temperature, this transition happens before a
first order transition to a new superconducting phase. Across this first order
transition, the gap in the transverse conductivity jumps from almost zero to
about half its maximum value. We also introduce a double scaling limit where we
can study the phase transitions (semi-)analytically in the large velocity
limit. The results corroborate and complement our numerical results. In d=4,
this approach has the virtue of being fully analytically tractable.Comment: 31 pages, 19 figure
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